Here is a graph of the first derivative of a function f(x), for the interval -T

Make a sign diagram for the derivative of the function. f(x)=x²³6x²15x + 8 0 decrease Sketch the graph of the function. y -6 -4 100 Find all open intervals of increase and decrease. (Enter your answers using interval notation.) increase 50 0 -50 -100 0 2 4 6 -6 JA ਜਲ y 100 50 -6 -2 2 4 6 -50 -100 f'(x) [ x x = e 0 f'(x) -2 y 100 50 -50 -100 0 2 4 6 -6 -4 -2 y 100 50 -50 -100 4 6

Select the statement that is false about the difference quotient.   The difference quotient can be represented by f(x+h)−f(x)(x+h)−x or f(x+h)−f(x)h The difference quotient is a more general form of the average rate of change of a function on an interval h units long. The difference quotient describes the general behavior of a function over some interval h units long when the rate of change is not constant. As the value of h gets smaller and smaller, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)). As the value of h gets larger and larger, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)).

Must use derivative (not graphing calculator) to show work. Use both the 1st and 2nd derivatives Please